Volume changes of the molten globule transitions of horse heart ferricytochrome c: a thermodynamic cycle

The measurement of volume change by capillary dilatometry

Capillary dilatometry enables direct measurement of changes in volume, an extensive thermodynamic property. The results provide insight into the changes in hydration that occur upon protein folding, ligand binding, and the interactions of proteins with nucleic acids and other cellular components. Often the entropy change arising from release of hydrating solvent provides the main driving force of a binding reaction. For technical reasons, though, capillary dilatometry has not been as widely used in protein biochemistry and biophysics as other methods such as calorimetry. Described here are simple apparatus and simple methods, which bring the technique within the capacity of any laboratory. Even very simple results are shown to have implications for macromolecular‐based phenomena. Protein examples are described.

Protein mediated textile dye filtration using graphene oxide–polysulfone composite membranes

Protein mediated textile dye filtration using graphene oxide (2%)–polysulfone composite membranes is studied for which the maximum rejection was recorded at pH = 2.

On the application of CZE to the study of protein denaturation

Experimental mobilities obtained from CZE are used to study protein denaturation through a model based on known physicochemical theories. This model is able to provide additional information concerning the folded and unfolded protein states from mobility data. Its use comprises first the evaluation of relevant parameters of the protein microstates like the electrostatic free energy, apart from the classical conformational free energy, and second the expression of raw experimental data concerning the folding-unfolding transition into more specific physicochemical parameters like protein hydrodynamic radius, net charge number, and hydration. Spurious effects that are intrinsic to the experimental evaluation of the mobility of protein states, like BGE viscosity, pH, and ionic strength variations accompanying the changes of the denaturant agent intensity are eliminated. In order to illustrate the proposal of this work, two case studies are considered here. The first one concerns thermal and urea denaturations of horse heart ferricytochrome c and the second one involves thermal denaturation of hen egg-white lysozyme. Thus, relevant theoretical thermodynamic considerations of the folded-unfolded protein transition are presented, where the electrostatic free energy is included explicitly in the effective free energy. It is found that this transition involves sharp increases of hydrodynamic radius and protein hydration.

Unfolding and refolding of bovine serum albumin at acid pH: ultrasound and structural studies

Serum albumin is the most abundant protein in the circulatory system. The ability of albumins to undergo a reversible conformational transition, observed with changes in pH, is conserved in distantly related species, suggesting for it a major physiological role possibly related to the transport of small molecules including drugs. We have followed changes of bovine serum albumin (BSA) in volume by densimetry and in adiabatic compressibility during its conformational transition from pH 7-2, using ultrasound measurements. In parallel, circular dichroism was measured. The volume and adiabatic compressibility decrease from pH 4 to 2. The change in ellipticity shows a decrease over the same pH range from 70% to 40% of its alpha-helix content. Sorbitol, at concentrations from 0 to 2 M, led to the progressive restoration of BSA volume and compressibility values, as well as a substantial recovery of its original alpha-helix content. This finding implies that the compressibility variation observed reflects the conformational changes during the transition. The mutual interactions of the mechanical properties and structural features of BSA reported here are important in biotechnology for research in material sciences and for the design and the development of new, tailor-made drug carriers.

Effect of hydrostatic pressure on conformational changes of canine milk lysozyme between the native, molten globule, and unfolded states

The effect of pressure on the unfolding of the native (N) and molten globule (MG) state of canine milk lysozyme (CML) was examined using ultraviolet (UV) spectroscopy at pH 4.5 and 2.0, respectively. It appeared that the thermally induced unfolding was promoted by the increase of pressure from atmospheric to 100 MPa, which indicates that both the N and MG states of CML unfolded with the decrease of the partial molar volume change (DeltaV). The volume changes needed for unfolding were estimated from the free energy change vs. pressure plots, and these volume changes became less negative from 20 to 60 degrees C. The DeltaV values at 25 degrees C were obtained for the N-MG (-46 cm3/mol) and MG-unfolded-state (U) transition (-40 cm3/mol). With regards to the MG-U transition, this value is contrastive to that of bovine alpha-lactalbumin (BLA) (0.9 cm3/mol), which is homologous to CML. Previous studies revealed that the MG state of CML was significantly more stable, and closer to the N state in structure, than that of BLA. In contrast to the swollen hydrophobic core of the MG state of BLA, our results suggest that the MG state of CML possesses a tightly packed hydrophobic core into which water molecules cannot penetrate.

Volumetric characterization of homopolymeric amino acids

We have determined the partial molar volumes, expansibilities, and adiabatic compressibilities for poly(L-alanine), poly(L-proline), and poly(L-threonine) within the temperature range of 18-55 degrees C. In addition, we have determined at 25 degrees C changes in volume, DeltaV, and adiabatic compressibility, DeltaK(S), associated with the coil-to-helix transitions of poly(L-lysine) and poly(L-glutamic acid) and the alpha-to-beta transition of poly(L-lysine). We have interpreted our volumetric data as suggesting that poly(L-alanine) and poly(L-proline) are not fully unfolded and, probably, retain some solvent-inaccessible core. Further, we propose that poly(L-threonine) is fully unfolded with the majority of its atomic groups being solvent-exposed. Near zero changes in volume and compressibility accompanying the coil-to-helix transitions of poly(L-lysine) and poly(L-glutamic acid) suggest that, in the absence of fortuitous compensations, the coil-to-helix transitions of the polypeptides do not result in any significant enhancement of solute hydration. By contrast, the alpha-to-beta transition of poly(L-lysine) causes slight but statistically significant increases in volume and compressibility, an observation that may suggest that the beta-sheet conformation of poly(L-lysine) is slightly less hydrated than its alpha-helical conformation. In general, our results provide a quantitative volumetric description of the hydration properties of the homopolymeric polypeptides investigated. Such characterizations should prove useful in developing an understanding of the role that solvent plays in the stabilization/destabilization of folded protein structures and protein complexes.

A molecular dynamics method for calculating molecular volume changes appropriate for biomolecular simulation

Photothermal methods permit measurement of molecular volume changes of solvated molecules over nanosecond timescales. Such experiments are an important tool in investigating complex biophysical phenomena including identifying transient species in solution. Developing a microscopic understanding of the origin of volume changes in the condensed phase is needed to complement the experimental measurements. A molecular dynamics (MD) method exploiting available simulation methodology is demonstrated here that both mimics experimental measurements and provides microscopic resolution to the thermodynamic measurements. To calculate thermodynamic volume changes over time, isothermal-isobaric (NPT) MD is performed on a solution for a chosen length of time and the volume of the system is thus established. A further simulation is then performed by "plucking" out a solute molecule of interest to determine the volume of the system in its absence. The difference between these volumes is the thermodynamic volume of the solute molecule. NPT MD allows the volume of the system to fluctuate over time and this results in a statistical uncertainty in volumes that are calculated. It is found in the systems investigated here that simulations lasting a few nanoseconds can discern volume changes of approximately 1.0 ml/mole. This precision is comparable to that achieved empirically, making the experimental and theoretical techniques synergistic. The technique is demonstrated here on model systems including neat water, both charged and neutral aqueous methane, and an aqueous beta-sheet peptide.

Volumetric effects of ionization of amino and carboxyl termini of alpha,omega-aminocarboxylic acids

We have determined the partial molar volumes and adiabatic compressibilities of a homologous series of six alpha,omega-aminocarboxylic acids over a broad pH range at 25 degrees C. We interpret the resulting data in terms of the changes in hydration associated with neutralization of amino and carboxyl termini. By combining our volumetric results with pH-dependent data on 1-anilinonaphthalene-8-sulfonic acid fluorescence we propose the following explanation to the long-standing observation that changes in volume and compressibility accompanying neutralization of a carboxyl group depend on the type of the solute in contrast to solute-independent changes in these parameters accompanying neutralization of an amino group. Unlike amino groups, neutralized carboxyl groups are capable of forming hydrogen-bonded structures stabilized by hydrogen bonds between the carbonyl oxygen of one solute molecule and the hydroxyl group of another molecule. Formation of such hydrogen-bonded structures causes an additional decrease in solute hydration with concomitant increases in volume and compressibility. Furthermore, solutes with large aliphatic moieties may form larger associates stabilized, in addition to intermolecular hydrogen bonds, by hydrophobic interactions which will result in further increases in volume and compressibility. In the aggregate, our results emphasize the need for further studies focused on developing an understanding of the role of electrostatic interactions in stabilizing/destabilizing proteins and protein complexes.

Characterization of pH-induced transitions of beta-lactoglobulin: ultrasonic, densimetric, and spectroscopic studies

Depending on solution conditions, beta-lactoglobulin can exist in one of its six pH-dependent structural states. We have characterized the acid and basic-induced conformational transitions between these structural states over the pH range of pH 1 to pH 13. To this end, we have employed high-precision ultrasonic and densimetric measurements coupled with fluorescence and CD spectroscopic data. Our combined spectroscopic and volumetric results have revealed five pH-induced transitions of beta-lactoglobulin between pH 1 and pH 13. The first transition starts at pH 2 and is not completed even at pH 1, our lowest experimental pH. This transition is followed by the dimer-to-monomer transition of beta-lactoglobulin between pH 2.5 and pH 4. The dimer-to-monomer transition is accompanied by decreases in volume, v degrees (-0.008(+/-0.003) cm3 x g(-1)), and adiabatic compressibility, k degrees (S) (-(0.7(+/-0.4))x10(-6) cm3 x g(-1) x bar(-1)). We interpret the observed changes in volume and compressibility associated with the dimer-to-monomer transition of beta-lactoglobulin, in conjunction with X-ray crystallographic data, as suggesting a 7 % increase in protein hydration, with the hydration changes being localized in the area of contact between the two monomeric subunits. The so-called N-to-Q transition of beta-lactoglobulin occurs between pH 4.5 and pH 6 and is accompanied by increases in volume, v degrees (0.004(+/-0.003) cm3 x g(-1)), and compressibility, k degrees (S) ((0.7(+/-0.4))x10(-6) cm3 x g(-1) x bar(-1)). The Tanford transition of beta-lactoglobulin is centered at pH 7.5 and is accompanied by a decrease in volume, v degrees (-0.006(+/-0.003) cm3 x g(-1)), and an increase in compressibility, k degrees (S) ((1.5(+/-0.5))x10(-6) cm3 x g(-1) x bar(-1)). Based on these volumetric results, we propose that the Tanford transition is accompanied by a 5 to 10 % increase in the protein hydration and a loosening of the interior packing of beta-lactoglobulin as reflected in a 12 % increase in its intrinsic compressibility. Finally, above pH 9, the protein undergoes irreversible base-induced unfolding which is accompanied by decreases in v degrees (-0.014(+/-0.003) cm3 x g(-1)) and k degrees (S) (-(7.0(+/-0.5))x10(-6) cm3 x g(-1) x bar(-1)). Combining these results with our CD spectroscopic data, we propose that, in the base-induced unfolded state of beta-lactoglobulin, only 80 % of the surface area of the fully unfolded conformation is exposed to the solvent. Thus, in so far as solvent exposure is concerned, the base-induced unfolded states of beta-lactoglobulin retains some order, with 20 % of its amino acid residues remaining solvent inaccessible.

Hydration and protein folding in water and in reverse micelles: compressibility and volume changes

The partial specific volume and adiabatic compressibility of proteins reflect the hydration properties of the solvent-exposed protein surface, as well as changes in conformational states. Reverse micelles, or water-in-oil microemulsions, are protein-sized, optically-clear microassemblies in which hydration can be experimentally controlled. We explore, by densimetry and ultrasound velocimetry, three basic proteins: cytochrome c, lysozyme, and myelin basic protein in reverse micelles made of sodium bis (2-ethylhexyl) sulfosuccinate, water, and isooctane and in aqueous solvents. For comparison, we use beta-lactoglobulin (pI = 5.1) as a reference protein. We examine the partial specific volume and adiabatic compressibility of the proteins at increasing levels of micellar hydration. For the lowest water content compatible with complete solubilization, all proteins display their highest compressibility values, independent of their amino acid sequence and charge. These values lie within the range of empirical intrinsic protein compressibility estimates. In addition, we obtain volumetric data for the transition of myelin basic protein from its initially unfolded state in water free of denaturants, to a folded, compact conformation within the water-controlled microenvironment of reverse micelles. These results disclose yet another aspect of the protein structural properties observed in membrane-mimetic molecular assemblies.

Volumetric and spectroscopic characterizations of the native and acid-induced denatured states of staphylococcal nuclease

We have characterized the acid-induced denaturation of staphylococcal nuclease (SNase) at different urea concentrations by a combination of ultrasonic velocimetry, high precision densimetry, and CD spectroscopy. Our CD spectroscopic results suggest that, at low salt and acidic pH, the protein is unfolded with disrupted secondary and tertiary structures. Furthermore, as judged by far UV CD spectra, the protein is further unfolded at acidic pH upon the addition of urea up to the concentration of 1.5 M. The midpoint of the transition shifts to more neutral pH values and the cooperativity of the transition decreases as the acid-induced denaturation of SNase occurs at higher urea concentrations. We find that the change in volume, Deltav, accompanying the acid-induced denaturation of SNase increases from -0.013 cm(3) g(-1) (-218 cm(3) mol(-1)) in the absence of urea to 0.011 cm(3) g(-1) (185 cm(3) mol(-1)) at 1.5 M urea. At all urea concentrations, the partial specific adiabatic compressibility, k(o)(s), of the protein decreases upon its unfolding with the values of Deltak(o)(s) equal to -6.3x10(-6) (-0.106 cm(3) mol(-1) bar(-1)), -4.5x10(-6) (-0.076 cm(3) mol(-1) bar(-1)), -4.6x10(-6) (-0.077 cm(3) mol(-1) bar(-1)), and -3.8x10(-6) (-0.064 cm(3) mol(-1) bar(-1)) cm(3) g(-1) bar(-1) at urea concentrations of 0, 0.5, 1.0, and 1.5 M, respectively. In general, our volumetric results suggest that the acid-induced denatured state of SNase is only partially unfolded with the solvent-exposed surface area equal to 70-80 % of that expected for the fully extended conformation.

Effect of hydrostatic pressure on unfolding of alpha-lactalbumin: volumetric equivalence of the molten globule and unfolded state

The effect of pressure on the unfolding of bovine alpha-lactalbumin was investigated by ultraviolet absorption methods. The change of molar volume associated with unfolding, deltaV, was measured in the presence or absence of guanidine hydrochloride at pH 7. The deltaV was estimated to be -63 cm3/mol in the absence of a chemical denaturant. While in the presence of guanidine hydrochloride (GuHCl), it was found that deltaV was -66 cm3/mol at 25 degrees C and was independent of the concentration of GuHCl, despite the fact that the molten globule fraction in the total unfolding product decreased with the increase of GuHCl concentration. The results indicate that the volume of alpha-lactalbumin only changes at the transition from a native to a molten globule state, and almost no volume change has been found during the transition from a molten globule to the unfolded state.

Thermodynamic analysis of biomolecules: a volumetric approach

Fundamental thermodynamic relationships reveal that volumetric studies on molecules of interest can yield useful new information. In particular, appropriately designed volumetric studies can characterize the properties of molecules as a function of solution conditions, including the role of solvation. Until recently, such studies on biologically interesting molecules have been limited because of the lack of readily available instrumentation with the requisite sensitivity; however, during the past decade, advances in the development of highly sensitive, small-volume densimetric, acoustic and high-pressure spectroscopic instrumentation have enabled biological molecules to be subjected to a wide range of volumetric studies. In fact, the volumetric methods used in these studies have already provided unique insights into the molecular origins of the intramolecular and intermolecular recognition events that modulate biomolecular processes. Of particular note are recent volumetric studies on globular proteins and nucleic acid duplexes. These studies have provided unique insights into the role of hydration in modulating the stabilities of these biopolymers, as well as their conformational transitions and ligand-binding properties.

Thermodynamic volume cycles for electron transfer in the cytochrome c oxidase and for the binding of cytochrome c to cytochrome c oxidase

Dilatometry is a sensitive technique for measuring volume changes occurring during a chemical reaction. We applied it to the reduction-oxidation cycle of cytochrome c oxidase, and to the binding of cytochrome c to the oxidase. We measured the volume changes that occur during the interconversion of oxidase intermediates. The numerical values of these volume changes have allowed the construction of a thermodynamic cycle that includes many of the redox intermediates. The system volume for each of the intermediates is different. We suggest that these differences arise by two mechanisms that are not mutually exclusive: intermediates in the catalytic cycle could be hydrated to different extents, and/or small voids in the protein could open and close. Based on our experience with osmotic stress, we believe that at least a portion of the volume changes represent the obligatory movement of solvent into and out of the oxidase during the combined electron and proton transfer process. The volume changes associated with the binding of cytochrome c to cytochrome c oxidase have been studied as a function of the redox state of the two proteins. The volume changes determined by dilatometry are large and negative. The data indicate quite clearly that there are structural alterations in the two proteins that occur on complex formation.

Protein folding: the endgame

The last stage of protein folding, the "endgame," involves the ordering of amino acid side-chains into a well defined and closely packed configuration. We review a number of topics related to this process. We first describe how the observed packing in protein crystal structures is measured. Such measurements show that the protein interior is packed exceptionally tightly, more so than the protein surface or surrounding solvent and even more efficiently than crystals of simple organic molecules. In vitro protein folding experiments also show that the protein is close-packed in solution and that the tight packing and intercalation of side-chains is a final and essential step in the folding pathway. These experimental observations, in turn, suggest that a folded protein structure can be described as a kind of three-dimensional jigsaw puzzle and that predicting side-chain packing is possible in the sense of solving this puzzle. The major difficulty that must be overcome in predicting side-chain packing is a combinatorial "explosion" in the number of possible configurations. There has been much recent progress towards overcoming this problem, and we survey a variety of the approaches. These approaches differ principally in whether they use ab initio (physical) or more knowledge-based methods, how they divide up and search conformational space, and how they evaluate candidate configurations (using scoring functions). The accuracy of side-chain prediction depends crucially on the (assumed) positioning of the main-chain. Methods for predicting main-chain conformation are, in a sense, not as developed as that for side-chains. We conclude by surveying these methods. As with side-chain prediction, there are a great variety of approaches, which differ in how they divide up and search space and in how they score candidate conformations.